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Finding the Fourth Proportional to 71,140.86, 106,717.50 and 29,024.10

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Solution

The fourth proportional to 71,140.86, 106,717.50 and 29,024.10 is: 43,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.86 : 106,717.50 = 29,024.10 : x
  2. Step 2: Convert to fraction form
    71,140.86/106,717.50 = 29,024.10/x
  3. Step 3: Cross multiply
    71,140.86x = 106,717.50 × 29,024.10
  4. Step 4: Simplify right side
    71,140.86x = 3,097,379,391.75
  5. Step 5: Solve for x
    x = 3,097,379,391.75/71,140.86
  6. Step 6: Final answer
    x = 43,538.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.